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Finding the Third Proportional to 15,831 and 33,783.75

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Solution

The third proportional to 15,831 and 33,783.75 is: 72,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831 : 33,783.75 = 33,783.75 : x
  2. Step 2: Convert to fraction form
    15,831/33,783.75 = 33,783.75/x
  3. Step 3: Cross multiply
    15,831x = 33,783.75 × 33,783.75
  4. Step 4: Simplify right side
    15,831x = 1,141,341,764.06
  5. Step 5: Solve for x
    x = 1,141,341,764.06/15,831
  6. Step 6: Final answer
    x = 72,095.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.